No - a gas electricity generator, powering a heat pump, will use an order of magnitude less gas than if you used the gas directly to heat your home. That’s how efficient heat pumps are.
Home generators are not very efficient, they lose a lot of energy to heat and noise. It’s close to the break even point so depending on your generator and heatpump, you could use more gas than with a modern gas furnace. Even with a theoretical perfect 100% efficient generator, it’s not going to be an order of magnitude less gas because heat pumps are not 1000% more efficient than a gas furnace
No - a gas electricity generator, powering a heat pump, will use an order of magnitude less gas than if you used the gas directly to heat your home. That’s how efficient heat pumps are.
Home generators are not very efficient, they lose a lot of energy to heat and noise. It’s close to the break even point so depending on your generator and heatpump, you could use more gas than with a modern gas furnace. Even with a theoretical perfect 100% efficient generator, it’s not going to be an order of magnitude less gas because heat pumps are not 1000% more efficient than a gas furnace